Question

There is a line that includes the point (7,-8) and has a slope of 1. What is its equation in slope-intercept form?​

Answer 1

y=x-15

Explanation:

y=mx+b is linear equation in slope-intercept form

m is a slope, m=1 (given)--> y=1times x + b = x+b

To find "b":

we have now : y=x+b and point (7,-8)-given

in ordered pair (7,-8) x=7, y=-8

Substitute x=7 and y=-8 into y=x+b to find b:

-8=7+b

solve for b:

subtract 7 from both sides of -8=7+b

-8-7=7-7+b

-15=b

your linear equation is:

y=1 times x +(-15)

y=x-15

Answer 2

y=x-15

Explanation:

The slope intercept form is y=mx+b, which m is slope and b is y-intercept. So we know that slope is 1, so we can replace m by 1 (We will ignore the 1 when the X or Y value is 1). and we got a point, we can replace the x by 7 and y by -8. we will get: -8 = 7+b

We can get the b value: b=-15

So we get y = x - 15